On a set of sine and cosine Fourier transforms of nested functions

DOI10.14658/pupj-drna-2022-1-2zbMath1541.42003MaRDI QIDQ6556633

Diego Caratelli, Paolo Emilio Ricci

Publication date: 17 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

zbMATH Keywords

Bell's polynomialsnested exponential functions

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• The umbral calculus
• Théorie des formes binaires.
• An extension of the Bell polynomials
• Exponential polynomials
• Special values of the Bell polynomials of the second kind for some sequences and functions
• Invariants orthogonaux pour certaines classes d'operateurs. (Orthogonal invariants for certain classes of operators)
• The Formula of FAA Di Bruno
• Bell polynomials and generalized Laplace transforms
• Solution of the Differential Equation $y^{(k)}=e^{ay}$, Special Values of Bell Polynomials and $(k,a)$-Autonomous Coefficients
• Computation of the Bell-Laplace transforms

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